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Klappentext Contains Grothendieck's previously unpublished manuscript 'Esquisse d'un Programme' and related papers. Zusammenfassung Containing two hitherto unpublished works of Grothendieck ('Esquisse d'un Programme' and a letter to Faltings) and selected related papers! this volume describes a powerful program of future mathematics: unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. Inhaltsverzeichnis 1. Esquisse d'un programme A. Grothendieck; 2. Letter to Faltings A. Grothendieck; 3. The Algebraic fundamental group F. Oort; 4. Grothendieck's 'Long March through Galois Theory' L. Schneps; 5. Survey of the anabelian conjecture F. Pop; 6. Etale homotopy type of the moduli spaces of algebraic curves T. Oda; 7. Tame topology B. Teissier; 8. The obvious part of Belyi's theorem and Riemann surfaces with many automorphisms J. Wolfart; 9. Singularities of moduli spaces, Galois cartography and finite projective geometry V. Adrianov and G. Shabat; 10. ¿1 of moduli spaces at infinity P. Lochak; 11. Galois actions on higher genus mapping class groups H. Nakamura; 12. On GT L. Schneps; 13. On the GT action on covers D. Harbater and L. Schneps; 14. Two letters on non-abelian cohomology J.-P. Serre.
